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JCPHY
2016
36views more  JCPHY 2016»
8 years 2 months ago
Higher-order in time "quasi-unconditionally stable" ADI solvers for the compressible Navier-Stokes equations in 2D and 3D curvil
This paper introduces alternating-direction implicit (ADI) solvers of higher order of timeaccuracy (orders two to six) for the compressible Navier-Stokes equations in two- and thr...
Oscar P. Bruno, Max Cubillos
JCPHY
2016
58views more  JCPHY 2016»
8 years 2 months ago
Unconditionally energy stable time stepping scheme for Cahn-Morral equation: Application to multi-component spinodal decompositi
Abstract. An unconditionally energy stable time stepping scheme is introduced to solve CahnMorral-like equations in the present study. It is constructed based on the combination of...
Rouhollah Tavakoli
JCPHY
2016
35views more  JCPHY 2016»
8 years 2 months ago
A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids
A wide variety of multiscale methods have been proposed in the literature to reduce runtime and provide better scaling for the solution of Poisson-type equations modeling flow in ...
Olav Møyner, Knut-Andreas Lie
JCPHY
2016
34views more  JCPHY 2016»
8 years 2 months ago
The panel-clustering method for the wave equation in two spatial dimensions
We consider the numerical solution of the wave equation in a two-dimensional domain and start from a boundary integral formulation for its discretization. We employ the convolutio...
Silvia Falletta, Stefan A. Sauter
JCPHY
2016
45views more  JCPHY 2016»
8 years 2 months ago
High-order unstructured curved mesh generation using the Winslow equations
We propose a method to generate high-order unstructured curved meshes using the classical Winslow equations. We start with an initial straight-sided mesh in a reference domain, an...
Meire Fortunato, Per-Olof Persson
JCPHY
2016
47views more  JCPHY 2016»
8 years 2 months ago
A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems
For problems defined in a two-dimensional domain Ω with boundary conditions specified on a curve Γ, we consider discontinuous Galerkin (DG) schemes with high order polynomial...
Xiangxiong Zhang
JCPHY
2016
50views more  JCPHY 2016»
8 years 2 months ago
Dimension-independent likelihood-informed MCMC
Many Bayesian inference problems require exploring the posterior distribution of high-dimensional parameters that, in principle, can be described as functions. This work introduces...
Tiangang Cui, Kody J. H. Law, Youssef M. Marzouk
JCPHY
2016
35views more  JCPHY 2016»
8 years 2 months ago
Exact calculation of the overlap volume of spheres and mesh elements
An algorithm for the exact calculation of the overlap volume of a sphere and a tetrahedron, wedge, or hexahedron is described. The method can be used to determine the exact local ...
Severin Strobl, Arno Formella, Thorsten Pösch...
JCPHY
2016
40views more  JCPHY 2016»
8 years 2 months ago
Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis
Abstract. The purpose of this paper is twofold. Firstly, we provide explicit and compact formulas for computing both Caputo and (modified) Riemann-Liouville (RL) fractional pseudo...
Yujian Jiao, Li-Lian Wang, Can Huang